Pohozaev identity for the fractional $p-$Laplacian on $\mathbb{R}^N$

Lorenzo Brasco; Sunra Mosconi; Marco Squassina

Pohozaev identity for the fractional $p-$Laplacian on $\mathbb{R}^N$

Analysis of PDEs 2017-01-31 v2

Authors: Lorenzo Brasco , Sunra Mosconi , Marco Squassina

Abstract

By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on $\mathbb{R}^N$ involving the fractional $p-$ Laplacian operator. Furthermore we provide an application of the identity to show that some relevant levels of the energy functional associated with the problem coincide.

Keywords

Pohozaev identity fractional p-Laplacian nonlinear nonlocal problems energy functional approximation argument

Cite

@article{arxiv.1701.00183,
  title  = {Pohozaev identity for the fractional $p-$Laplacian on $\mathbb{R}^N$},
  author = {Lorenzo Brasco and Sunra Mosconi and Marco Squassina},
  journal= {arXiv preprint arXiv:1701.00183},
  year   = {2017}
}

Comments

This paper has been withdrawn by the authors due to a crucial error in Proposition A.1

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